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Finding the Fourth Proportional to 34,966.40, 52,471.46 and 14,189.90

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Solution

The fourth proportional to 34,966.40, 52,471.46 and 14,189.90 is: 21,293.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,966.40 : 52,471.46 = 14,189.90 : x
  2. Step 2: Convert to fraction form
    34,966.40/52,471.46 = 14,189.90/x
  3. Step 3: Cross multiply
    34,966.40x = 52,471.46 × 14,189.90
  4. Step 4: Simplify right side
    34,966.40x = 744,564,543.37
  5. Step 5: Solve for x
    x = 744,564,543.37/34,966.40
  6. Step 6: Final answer
    x = 21,293.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.